Abstract
A non-linear mechanical model for the martensitic transformation is proposed. The formation process of the nucleus of the martensitic phase is described as the results of the evolution of the transverse lattice waves in a non-linear dispersive lattice of the parent phase. A significant role of the dispersion relationship in the martensitic transformation is found; it is the dispersion relationship of the transverse lattice waves in the parent phase that governs the structure of the martensitic nucleus. However, the presence of such strong anomaly in the dispersion relationship as accompanied by a soft phonon is not required for the nucleation of the martensitic phase.
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